1. The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2.5 m on the peaks of the waves and -2.5 m in the troughs. The time between the peak and the trough is approximately 2 seconds. Determine the equation of a sinusoidal function that would model this situation assuming that at t = 0, the propeller is at its resting position and headed towards the peak of the next wave. INClude Sketch and what is the Period

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 41CT
Question
1.
The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly
wavy night, the propeller leaves its resting position and reaches a height of 2.5 m on the peaks of the
waves and -2.5 m in the troughs. The time between the peak and the trough is approximately 2
seconds. Determine the equation of a sinusoidal function that would model this situation assuming
that at t = 0, the propeller is at its resting position and headed towards the peak of the next wave.
INClude Sketch and what is the Period
Transcribed Image Text:1. The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2.5 m on the peaks of the waves and -2.5 m in the troughs. The time between the peak and the trough is approximately 2 seconds. Determine the equation of a sinusoidal function that would model this situation assuming that at t = 0, the propeller is at its resting position and headed towards the peak of the next wave. INClude Sketch and what is the Period
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